Weak Covering Properties and Infinite Games

L. Babinkostova; B. A. Pansera; M. Scheepers

doi:10.1016/j.topol.2012.09.009

Weak Covering Properties and Infinite Games

L. Babinkostova, B. A. Pansera, M. Scheepers

Mathematics Department

University of Messina

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Abstract

We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.

Original language	American English
Pages (from-to)	3644-3657
Number of pages	14
Journal	Topology and its Applications
Volume	159
Issue number	17
DOIs	https://doi.org/10.1016/j.topol.2012.09.009
State	Published - 1 Nov 2012

Keywords

Almost
Infinite game
Lindelöf
Menger
Rothberger
Weakly

EGS Disciplines

Mathematics

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10.1016/j.topol.2012.09.009

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title = "Weak Covering Properties and Infinite Games",

abstract = " We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.",

keywords = "Almost, Infinite game, Lindel{\"o}f, Menger, Rothberger, Weakly",

author = "L. Babinkostova and Pansera, \{B. A.\} and M. Scheepers",

year = "2012",

month = nov,

day = "1",

doi = "10.1016/j.topol.2012.09.009",

language = "American English",

volume = "159",

pages = "3644--3657",

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TY - JOUR

T1 - Weak Covering Properties and Infinite Games

AU - Babinkostova, L.

AU - Pansera, B. A.

AU - Scheepers, M.

PY - 2012/11/1

Y1 - 2012/11/1

N2 - We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.

AB - We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.

KW - Almost

KW - Infinite game

KW - Lindelöf

KW - Menger

KW - Rothberger

KW - Weakly

UR - https://www.scopus.com/pages/publications/84866936201

UR - https://scholarworks.boisestate.edu/math_facpubs/103

U2 - 10.1016/j.topol.2012.09.009

DO - 10.1016/j.topol.2012.09.009

M3 - Article

SN - 0016-660X

VL - 159

SP - 3644

EP - 3657

JO - Topology and its Applications

JF - Topology and its Applications

IS - 17

ER -

Weak Covering Properties and Infinite Games

Abstract

Keywords

EGS Disciplines

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